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arxiv: 1405.6069 · v1 · pith:VZCZ4P7Znew · submitted 2014-05-23 · 🧮 math.NT

On the zeros of weakly holomorphic modular forms

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keywords formsmodularholomorphicweaklyzerosalgebraicarticlecertain
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In this article, we study the nature of zeros of weakly holomorphic modular forms. In particular, we prove results about transcendental zeros of modular forms of higher levels and for certain Fricke groups which extend a work of Kohnen. Furthermore, we investigate the algebraic independence of values of weakly holomorphic modular forms.

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